Department of Mathematics
Tokyo Institute of Technology
2-12-1 Ookayama Meguro-ku
Tokyo 152-8550
Japan
E-mail: somapurkait@gmail.com
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I am currently a special associate professor at
Department of Mathematics,
Tokyo Institute of Technology.
My research interests broadly lie in number theory and specifically on modular forms, newform theory, automorphic forms and representations.
I am an organizer of Number Theory in Tokyo conference. The program of the conference can be found
here.
Publications
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(Joint with E. M. Baruch)
Hecke algebra and Whittaker functions (in preparation).
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(Joint with Jerome Dimabayao)
A variant of the congruent number problem (in preparation).
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(Joint with E. M. Baruch)
Newforms of half-integral weight: the minus space of S_{k+1/2}(Γ_0(8M)), Israel Journal of Mathematics, vol 232 (2019), 41-73.
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(Joint with E. M. Baruch) Newforms of half-integral weight:
The minus space counterpart, Canadian Journal of Mathematics, vol 72 (2020), Issue 2, 326-372.
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(Joint with E. M. Baruch) Hecke algebras, new vectors and newforms on Γ_0(m),
Mathematische Zeitschrift, Vol. 287 (2017), Issue 1-2, 705-733.
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(Joint with N. Kumar)
A note on the Fourier coefficients of half-integral weight modular forms,
Archiv der Mathematik (Basel) 102, Vol. 4 (2014), 369-378.
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Hecke operators in half-integral weight, Journal de Thoérie des Nombres de Bordeaux 26 (2014), no. 01, 233-251.
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Explicit application of Waldspurger's theorem,
LMS Journal of Computation and Mathematics, Vol. 16 (2013), 216-245.
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On Shimura's decomposition,
International Journal of Number Theory, Vol. 9, no. 06, (2013), 1431-1445.
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(Joint with B. Sury)
Some vanishing sums involving binomial coeffcients in the denominator, Albanian Journal of Mathematics,Vol. 2 (2008), 27-32.
Some MAGMA Codes
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For computing Shimura's decomposition (shimuraspacewtk.m)
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For computing the Shimura equivalent space of an elliptic curve that comes from theta series of ternary quadratic forms; it includes implementation of Dickson's algorithm (quadratic.m)
Teaching
I am currently teaching a graduate course on
Modular forms
and undergraduate courses on
Linear Algebra I ,
Linear Algebra II ,
Calculus I ,
Calculus II .
Previously, I was a lecturer for
MA3H1 Topics in Number Theory at University of Warwick.
Curriculum Vitae
Here is my CV.
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